The most common and most likely answer to this crossword clue is the 4 letter word MAGI
I've seen this crossword clue in The Guardian
M
A
G
I
More clues leading to the result MAGI
- Present suppliers not entirely marvellous
- Publication, one for the wise men
- Present suppliers not entirely brilliant
- High aim to surround government with wise men
- Graduate and soldier, men on special quest
- Star witnesses in first issue?
- Silver wrapped up in note for old priests
- Three males in a crèche showing endless charm
- Wise men have a month in Paris about the end of spring
- Star-struck followers of old lady with judo outfit
Buddy explains!

The straight part
We know that "Star-struck followers" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case star-struck followers = magi.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does MAGI mean?
MAGI noun- A magician, wizard or sorcerer.
- (common usage) magician, and derogatorily sorcerer, trickster, conjurer, charlatan
- (special usage) a Zoroastrian priest